Stochastic Transport In Upper Ocean Dynamics

Author : Bertrand Chapron,Dan Crisan,Darryl Holm,Etienne Mémin,Anna Radomska
Publisher : Springer Nature
Page : 324 pages
File Size : 40,9 Mb
Release : 2022-12-13
Category : Mathematics
ISBN : 9783031189883

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Stochastic Transport in Upper Ocean Dynamics by Bertrand Chapron,Dan Crisan,Darryl Holm,Etienne Mémin,Anna Radomska Pdf

This open access proceedings volume brings selected, peer-reviewed contributions presented at the Stochastic Transport in Upper Ocean Dynamics (STUOD) 2021 Workshop, held virtually and in person at the Imperial College London, UK, September 20–23, 2021. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA) and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation and oceanography.

Author : Bertrand Chapron,Dan Crisan,Darryl Holm,Etienne Mémin,Anna Radomska
Publisher : Springer Nature
Page : 347 pages
File Size : 44,9 Mb
Release : 2023-11-04
Category : Mathematics
ISBN : 9783031400940

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Stochastic Transport in Upper Ocean Dynamics II by Bertrand Chapron,Dan Crisan,Darryl Holm,Etienne Mémin,Anna Radomska Pdf

This open access proceedings volume brings selected, peer-reviewed contributions presented at the Third Stochastic Transport in Upper Ocean Dynamics (STUOD) 2022 Workshop, held virtually and in person at the Imperial College London, UK, September 26–29, 2022. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA) and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation and oceanography.

Author : Bertrand Chapron,Dan Crisan,Darryl D. Holm,Etienne Mémin,Anna Radomska
Publisher : Unknown
Page : 0 pages
File Size : 42,6 Mb
Release : 2023
Category : Differential equations
ISBN : 3031189892

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Stochastic Transport in Upper Ocean Dynamics by Bertrand Chapron,Dan Crisan,Darryl D. Holm,Etienne Mémin,Anna Radomska Pdf

This open access proceedings volume brings selected, peer-reviewed contributions presented at the Stochastic Transport in Upper Ocean Dynamics (STUOD) 2021 Workshop, held virtually and in person at the Imperial College London, UK, September 20-23, 2021. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA) and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation and oceanography.

Author : Stefania Ugolini,Marco Fuhrman,Elisa Mastrogiacomo,Paola Morando,Barbara Rüdiger
Publisher : Springer Nature
Page : 273 pages
File Size : 48,6 Mb
Release : 2022-02-09
Category : Mathematics
ISBN : 9783030874322

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Geometry and Invariance in Stochastic Dynamics by Stefania Ugolini,Marco Fuhrman,Elisa Mastrogiacomo,Paola Morando,Barbara Rüdiger Pdf

This book grew out of the Random Transformations and Invariance in Stochastic Dynamics conference held in Verona from the 25th to the 28th of March 2019 in honour of Sergio Albeverio. It presents the new area of studies concerning invariance and symmetry properties of finite and infinite dimensional stochastic differential equations.This area constitutes a natural, much needed, extension of the theory of classical ordinary and partial differential equations, where the reduction theory based on symmetry and invariance of such classical equations has historically proved to be very important both for theoretical and numerical studies and has given rise to important applications. The purpose of the present book is to present the state of the art of the studies on stochastic systems from this point of view, present some of the underlying fundamental ideas and methods involved, and to outline the main lines for future developments. The main focus is on bridging the gap between deterministic and stochastic approaches, with the goal of contributing to the elaboration of a unified theory that will have a great impact both from the theoretical point of view and the point of view of applications. The reader is a mathematician or a theoretical physicist. The main discipline is stochastic analysis with profound ideas coming from Mathematical Physics and Lie’s Group Geometry. While the audience consists essentially of academicians, the reader can also be a practitioner with Ph.D., who is interested in efficient stochastic modelling.

Author : Franco Flandoli,Eliseo Luongo
Publisher : Springer Nature
Page : 206 pages
File Size : 47,8 Mb
Release : 2023-06-11
Category : Mathematics
ISBN : 9789819903856

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Stochastic Partial Differential Equations in Fluid Mechanics by Franco Flandoli,Eliseo Luongo Pdf

This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequences on large-scale properties of a fluid.

Author : Igorʹ Evgenʹevich Timchenko
Publisher : Routledge
Page : 328 pages
File Size : 45,5 Mb
Release : 1984
Category : Hydrodynamics
ISBN : UCAL:B4217966

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Stochastic Modeling of Ocean Dynamics by Igorʹ Evgenʹevich Timchenko Pdf

Author : Robert Adler,Peter Müller,B.L. Rozovskii
Publisher : Springer Science & Business Media
Page : 473 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461224303

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Stochastic Modelling in Physical Oceanography by Robert Adler,Peter Müller,B.L. Rozovskii Pdf

The study of the ocean is almost as old as the history of mankind itself. When the first seafarers set out in their primitive ships they had to understand, as best they could, tides and currents, eddies and vortices, for lack of understanding often led to loss of live. These primitive oceanographers were, of course, primarily statisticians. They collected what empirical data they could, and passed it down, ini tially by word of mouth, to their descendants. Data collection continued throughout the millenia, and although data bases became larger, more re liable, and better codified, it was not really until surprisingly recently that mankind began to try to understand the physics behind these data, and, shortly afterwards, to attempt to model it. The basic modelling tool of physical oceanography is, today, the partial differential equation. Somehow, we all 'know" that if only we could find the right set of equations, with the right initial and boundary conditions, then we could solve the mysteries of ocean dynamics once and for all.

Author : Annalisa Griffa,A. D. Kirwan, Jr.,Arthur J. Mariano,Tamay Özgökmen,H. Thomas Rossby
Publisher : Cambridge University Press
Page : 479 pages
File Size : 53,6 Mb
Release : 2007-05-10
Category : Science
ISBN : 9781139463089

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Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics by Annalisa Griffa,A. D. Kirwan, Jr.,Arthur J. Mariano,Tamay Özgökmen,H. Thomas Rossby Pdf

Written by a group of international experts in their field, this book is a review of Lagrangian observation, analysis and assimilation methods in physical and biological oceanography. This multidisciplinary text presents new results on nonlinear analysis of Lagrangian dynamics, the prediction of particle trajectories, and Lagrangian stochastic models. It includes historical information, up-to-date developments, and speculation on future developments in Lagrangian-based observations, analysis, and modeling of physical and biological systems. Containing contributions from experimentalists, theoreticians, and modelers in the fields of physical oceanography, marine biology, mathematics, and meteorology, this book will be of great interest to researchers and graduate students looking for both practical applications and information on the theory of transport and dispersion in physical systems, biological modeling, and data assimilation.

Author : Owen M. Phillips
Publisher : Unknown
Page : 128 pages
File Size : 52,9 Mb
Release : 1980
Category : Ocean waves
ISBN : OCLC:636989656

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The dynamics of the upper ocean by Owen M. Phillips Pdf

Author : Owen M Philips
Publisher : Unknown
Page : 336 pages
File Size : 51,7 Mb
Release : 1980
Category : Ocean waves
ISBN : OCLC:848208718

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The Dynamics of the Upper Ocean by Owen M Philips Pdf

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 44,8 Mb
Release : 2001
Category : Electronic
ISBN : OCLC:641899221

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Ocean Dynamics by Anonim Pdf

Author : Leonid Piterbarg,A. Ostrovskii
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 52,7 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475744583

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Advection and Diffusion in Random Media by Leonid Piterbarg,A. Ostrovskii Pdf

This book originated from our interest in sea surface temperature variability. Our initial, though entirely pragmatic, goal was to derive adequate mathemat ical tools for handling certain oceanographic problems. Eventually, however, these considerations went far beyond oceanographic applications partly because one of the authors is a mathematician. We found that many theoretical issues of turbulent transport problems had been repeatedly discussed in fields of hy drodynamics, plasma and solid matter physics, and mathematics itself. There are few monographs concerned with turbulent diffusion in the ocean (Csanady 1973, Okubo 1980, Monin and Ozmidov 1988). While selecting material for this book we focused, first, on theoretical issues that could be helpful for understanding mixture processes in the ocean, and, sec ond, on our own contribution to the problem. Mathematically all of the issues addressed in this book are concentrated around a single linear equation: the stochastic advection-diffusion equation. There is no attempt to derive universal statistics for turbulent flow. Instead, the focus is on a statistical description of a passive scalar (tracer) under given velocity statistics. As for applications, this book addresses only one phenomenon: transport of sea surface temperature anomalies. Hopefully, however, our two main approaches are applicable to other subjects.

Author : Navale Pandharinath
Publisher : Unknown
Page : 384 pages
File Size : 45,9 Mb
Release : 2019-07
Category : Science
ISBN : 9387593460

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An Introduction to Ocean Dynamics by Navale Pandharinath Pdf

The book is written to meets the needs of post graduate students who opt special subjects of ocean and atmospheric sciences and oceanography, ocean engineering. These students have different back grieved, require self study like physical and basic dynamic ocean back ground and this aspect fully meets - First seven chapters are dealt with physical oceanography and the remainder deals with dynamics of ocean The Book Covers: The oceans composition, ocean currents, distribution temperature, salinity, density, ocean mixed layer and termocline. Ocean stability, heat budget, friction and turbulence is dealt. After this dynamics of ocean given, which covers fluid statics, fluid dynamics equations of continuity and motion. Wind drives ocean circulation, geotropic motion and vorticty in ocean given. Dealing firefly about geophysical aspect of hydrodynamics, the deep ocean circulation described. Describing the source of energy, the sun, the input of ocean on earths climate, ocean waves, tides tsunamis and finally elements of ocean modeling presented.

Author : Adrian E. Gill
Publisher : Unknown
Page : 662 pages
File Size : 53,6 Mb
Release : 1982
Category : Ocean-atmosphere interaction
ISBN : 012283500X

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Atmosphere-ocean Dynamics by Adrian E. Gill Pdf

Author : Anonim
Publisher : Unknown
Page : 704 pages
File Size : 50,5 Mb
Release : 1995
Category : Aeronautics
ISBN : UIUC:30112050127304

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Scientific and Technical Aerospace Reports by Anonim Pdf